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Each of these number systems is a positional system, but while decimal weights are powers of 10, the octal weights are powers of 8 and the hexadecimal weights are powers of 16. To convert from hexadecimal or octal to decimal, for each digit one multiplies the value of the digit by the value of its position and then adds the results. For example:
When b is 2, the unit is the shannon, equal to the information content of one "bit". A system with 8 possible states, for example, can store up to log 2 8 = 3 bits of information. Other units that have been named include: Base b = 3 the unit is called "trit", and is equal to log 2 3 (≈ 1.585) bits. [3] Base b = 10
1 bit – 0 or 1, false or true, Low or High (a.k.a. unibit) 1.442695 bits (log 2 e) – approximate size of a nat (a unit of information based on natural logarithms) 1.5849625 bits (log 2 3) – approximate size of a trit (a base-3 digit) 2 1: 2 bits – a crumb (a.k.a. dibit) enough to uniquely identify one base pair of DNA
Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble). [1] For example, an 8-bit byte is two hexadecimal digits and its value can be written as 00 to FF in hexadecimal. In mathematics, a subscript is typically used to specify the base. For example, the decimal value 711 would be expressed in hexadecimal ...
[5] [6] In networking or telecommunications, the unit is often called a semi-octet, [7] quadbit, [8] or quartet. [9] [10] As a nibble can represent sixteen (2 4) possible values, a nibble value is often shown as a hexadecimal digit (hex digit). [11]. A byte is two nibbles, and therefore, a value can be shown as two hex digits.
The octal and hexadecimal systems are often used in computing because of their ease as shorthand for binary. Every hexadecimal digit corresponds to a sequence of four binary digits, since sixteen is the fourth power of two; for example, hexadecimal 78 16 is binary 111 1000 2. Similarly, every octal digit corresponds to a unique sequence of ...
The number of bits on a computer hard disk (as of 2024, ... our universe is approximately 13.8 billion years old (equivalent to 4.355 ...
Octets can be represented using number systems of varying bases such as the hexadecimal, decimal, or octal number systems. The binary value of all eight bits set (or activated) is 11111111 2, equal to the hexadecimal value FF 16, the decimal value 255 10, and the octal value 377 8. One octet can be used to represent decimal values ranging from ...